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Finding the Fourth Proportional to 21,319.01, 31,978.48 and 5,736.63

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Solution

The fourth proportional to 21,319.01, 31,978.48 and 5,736.63 is: 8,604.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,319.01 : 31,978.48 = 5,736.63 : x
  2. Step 2: Convert to fraction form
    21,319.01/31,978.48 = 5,736.63/x
  3. Step 3: Cross multiply
    21,319.01x = 31,978.48 × 5,736.63
  4. Step 4: Simplify right side
    21,319.01x = 183,448,707.72
  5. Step 5: Solve for x
    x = 183,448,707.72/21,319.01
  6. Step 6: Final answer
    x = 8,604.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.